Is My Proof for Convergence to the Mean Valid?

[SiddharthM]

Convergence in the Mean. I attached a picture of a handwritten proof because I don't know how to use Latex and there is too much hullabaloo to type it out without the notation.

I'm wondering if my proof is legit - i make the size of 1/n be less than epsilon/kM...i'm not sure...hmmmmmmm, I think it's fine though because that k is fixed.

Let me know if my proof is satisfactory.

a .jpg file is attached with the proof.

 

[EnumaElish]

"n > 2kM/e" would be more direct than the reciprocals.

 

[SiddharthM]

so it's correct?

 

[EnumaElish]

I looked at it quickly and didn't see any obvious errors.

 

[SiddharthM]

can someone please take a serious look at this and tell me whether or not the proof is fine?